An ice dispenser for a refrigerator includes an ice reservoir mounted inside the refrigerator, an ice supplier disposed within the ice reservoir, a cavity mounted in a refrigerator door, an ice supply tube communicating the ice reservoir with the cavity, a damper door for opening and closing the ice supply tube, and an elastic member biasing the damper door toward the ice supply tube closing position. A mounting lever pivotally fixed on the cavity, a damper door opening lever extending from an extreme end of the mounting lever to one side of the damper door, a switch operating lever extending from the extreme end of the mounting lever, and a switch operated by a pivotal movement of the switch operating lever are provided. A retardation means for retarding the return of the damper door to the closed position for a predetermined time after pieces of ice are dispensed out of the cavity and the switch is turned OFF is also provided. A retardation release means for releasing the retardation of the return of the damper door after the predetermined time has elapsed is further provided.